Q: What are the prime factors of the number 212,513,112?

 A: 2, 3, 7, 140551

Why are those the prime factors of the number 212,513,112?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 212,513,112

212,513,112
Factor Arrows
2106,256,556
Factor Arrows
253,128,278
Factor Arrows
226,564,139
Factor Arrows
38,854,713
Factor Arrows
32,951,571
Factor Arrows
3983,857
Factor Arrows
7140,551

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 3, 7, 140551

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 3 x 3 x 3 x 7 x 140,551 = 212,513,112

This can also be written as 23 x 33 x 71 x 140,5511 = 212,513,112

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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